# Ch 42: MTLE Mathematics: Parametric, Polar & Vector Functions

### About This Chapter

## MTLE Mathematics: Parametric, Polar & Vector Formations - Chapter Summary

Do all you can to prepare for questions on the MTLE Mathematics exam. In this Parametric, Polar & Vector Formations chapter, our expert instructors will you walk you through the concepts that surround this geometric topic. This chapter covers:

- Parametric equations
- Parametric and rectangular forms
- Particle motion and polar coordinates
- Switching between rectangular and polar coordinates
- Adding, multiplying and subtracting vectors
- Normal and unit vectors
- The graphing of vector functions

With a combination of our expert instructors and self-assessment quizzes, you'll be able to review these principles at your own pace. Plus, with our convenient video tags and accurate transcripts, you'll never have to worry about missing information. Whether you just need a quick review or a more comprehensive lesson on parametric, polar and vector formations, this is the chapter for you.

### 1. Evaluating Parametric Equations: Process & Examples

After watching this video lesson, you will be able to evaluate a parametric equation for any given parameter. Learn the steps involved and what the complete answer looks like.

### 2. Converting Between Parametric & Rectangular Forms

There are all kinds of ways of writing equations. Learn about parametric equations in this video lesson. Learn how you can convert between parametric equations and their equivalent rectangular equations.

### 3. Using Parametric Equations to Describe Projectile Motion

Projectile motion equations are often written with position coordinates expressed as functions of a parameter. In this lesson, after showing how to derive these equations, we present an application.

### 4. Polar Coordinates: Definition, Equation & Examples

Discover a new way of graphing with polar coordinates. In this lesson, you will learn the definition of polar coordinates, how they can be calculated, and in what types of problems they will be useful. Practice what you have learned with example problems and a quiz after the lesson.

### 5. How to Convert Between Polar & Rectangular Coordinates

Symmetry in a math problem may suggest a change of coordinate systems. In this lesson we show how to convert between two common coordinate systems: polar and rectangular.

### 6. Performing Operations on Vectors in the Plane

After watching this video lesson, you should be able to add, subtract, and multiply your vectors. Learn how easy it is to perform these operations and what you need to keep in mind when performing these operations.

### 7. How to Find Unit & Normal Vectors

Unit vectors point in the direction of a vector and a normal vector is perpendicular to a vector. In this lesson, we will investigate how to determine unit and normal vectors.

### 8. How to Graph Vector Functions

Vector functions are often used to describe the position of an object in space. Graphing a vector function is one way to create a visual representation of the motion of the object. In this lesson, you'll learn the steps you need to take to graph vector functions.

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### Other Chapters

Other chapters within the MTLE Mathematics: Practice & Study Guide course

- MTLE Mathematics: Basic Arithmetic Operations
- MTLE Mathematics: Properties of Real Numbers
- MTLE Mathematics: Operations with Real Numbers
- MTLE Mathematics: Fractions
- MTLE Mathematics: Decimals
- MTLE Mathematics: Percents
- MTLE Mathematics: Ratios, Rates & Proportions
- MTLE Mathematics: Exponents & Exponential Expressions
- MTLE Mathematics: Mathematical Reasoning & Problem Solving
- MTLE Mathematics: Complex Numbers
- MTLE Mathematics: Sequences & Series
- MTLE Mathematics: Functions
- MTLE Mathematics: Algebraic Expressions & Equations
- MTLE Mathematics: Exponential & Logarithmic Functions
- MTLE Mathematics: Vector Operations
- MTLE Mathematics: Matrices in Linear Algebra
- MTLE Mathematics: Linear Functions
- MTLE Mathematics: Linear Inequalities
- MTLE Mathematics: Quadratic Functions
- MTLE Mathematics: Polynomial Functions
- MTLE Mathematics: Rational Expressions
- MTLE Mathematics: Radical Expressions
- MTLE Mathematics: Absolute Value Functions
- MTLE Mathematics: Continuity & Limits
- MTLE Mathematics: Rate of Change & Derivatives
- MTLE Mathematics: Area Under the Curve & Integrals
- MTLE Mathematics: Trigonometric Functions
- MTLE Mathematics: Solving Trigonometric Equations
- MTLE Mathematics: Trigonometric Identities
- MTLE Mathematics: Principles of Measurement
- MTLE Mathematics: Area & Perimeter
- MTLE Mathematics: Surface Area & Volume
- MTLE Mathematics: Foundations of Geometry
- MTLE Mathematics: Lines & Angles
- MTLE Mathematics: Properties of Triangles
- MTLE Mathematics: Similar & Congruent Triangle Proofs
- MTLE Mathematics: Right Triangle Proofs
- MTLE Mathematics: Quadrilaterals & Polygons
- MTLE Mathematics: Circles & Arc of a Circle
- MTLE Mathematics: Coordinate Geometry
- MTLE Mathematics: Geometric Transformations
- MTLE Mathematics: Organizing Data
- MTLE Mathematics: Summarizing & Analyzing Data
- MTLE Mathematics: Random Sampling
- MTLE Mathematics: Probability
- MTLE Mathematics: Probability Distributions
- MTLE Mathematics: Discrete Mathematics
- MTLE Mathematics: Mathematical Connections & Communication
- MTLE Mathematics: From Words to Equations, Expressions & Graphs
- MTLE Mathematics: Content Area Reading Skills
- MTLE Mathematics: Instructional Design & Delivery
- MTLE Mathematics: Teaching & Assessing Diverse Learners
- MTLE Mathematics Flashcards